9000101002

Find the intersection of the line $AB$ and the line $p$, where $A=[0;1;2]$, $B=[4;1;-2]$ and $$\begin{array}{rlr}p:x& =1+t,& \\ y& =2-t,\\ z& =1-t;t\in \mathbb{R}.\end{array}$$